Dynamical phenomena near a saddle-focus homoclinic connection in a Hamiltonian system

摘要

We present main features of the orbit behavior for a Hamiltonian system in a neighborhood of homoclinic orbit to a saddle-focus equilibrium. These features includes description of hyperbolic subsets and main bifurcations when varying a value of the Hamiltonian. The proofs of results about bifurcations are given. [References: 14]